Applications ♮ dans les anneaux d’opérateurs

J. Dixmier

Compositio Mathematica (1952)

  • Volume: 10, page 1-55
  • ISSN: 0010-437X

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Dixmier, J.. "Applications $\natural $ dans les anneaux d’opérateurs." Compositio Mathematica 10 (1952): 1-55. <http://eudml.org/doc/88788>.

@article{Dixmier1952,
author = {Dixmier, J.},
journal = {Compositio Mathematica},
keywords = {functional analysis},
language = {fre},
pages = {1-55},
publisher = {Kraus Reprint},
title = {Applications $\natural $ dans les anneaux d’opérateurs},
url = {http://eudml.org/doc/88788},
volume = {10},
year = {1952},
}

TY - JOUR
AU - Dixmier, J.
TI - Applications $\natural $ dans les anneaux d’opérateurs
JO - Compositio Mathematica
PY - 1952
PB - Kraus Reprint
VL - 10
SP - 1
EP - 55
LA - fre
KW - functional analysis
UR - http://eudml.org/doc/88788
ER -

References

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  1. J.W. Calkin, [1 ] Two-sided ideals and congruences in the ring of bounded operators in Hilbert space, Ann. of Math., 42 (1941), pp. 839—873. Zbl0063.00692
  2. J. Dixmier, [2] Les anneaux d'opérateurs de classe finie, Ann. Ec. Norm. Sup., 66 (1949), pp. 209—261. Zbl0036.35802
  3. J. Dixmier, [3] Les fonctionnelles linéaires sur l'ensemble des opérateurs bornés d'un espace de Hilbert, Ann. of Math., 51 (1950), pp. 387—408. Zbl0036.35801
  4. J. Dixmier, [4] Sur les opérateurs self-adjoints d'un espace de Hilbert, C. R. Acad. Sci. Paris, 230 (1950), pp. 267—269. Zbl0034.37303
  5. J. Dixmier, [5] Applications 4 dans les anneaux d'opérateurs, C.R. Acad. Sci. Paris, 230 (1950), pp. 607—608. Zbl0035.07002
  6. J. Dixmier, [6] Sur la réduction des anneaux d'opérateurs, Ann. Ec. Norm. Sup., 68 (1951), pp. 185-202. Zbl0043.32701MR44748
  7. J. Dixmier, [7] Sur certains espaces considérés par M. H. Stone, à paraître au Summa Brasiliensis Mathematicae. Zbl0045.38002
  8. I. Gelfand et M. Neumark, [8] On the imbedding of normed rings into the ring of operators in Hilbert space, Math. Sb., 12 (1943), pp. 197—212. Zbl0060.27006
  9. R. Godement, [9] Mémoire sur la théorie des caractères dans les groupes localement compacts unimodulaires, Journ. de Math., 30 (1951), pp. 1—110. Zbl0034.37002
  10. F.J. Murray et J. Von Neumann, [10] On rings of operators, Ann. of Math., 37 (1936), pp. 116—229. Zbl0014.16101JFM62.0449.03
  11. F.J. Murray et J. Von Neumann, [11] On rings of operators II, Trans. Amer. Math. Soc., 41 (1937), pp. 208-248. Zbl0017.36001MR1501899JFM63.1008.03
  12. F.J. Murray et J. Von Neumann, [12] On rings of operators IV, Ann. of Math., 44 (1943), pp. 716—808. Zbl0060.26903
  13. J. Von Neumann, [13] Zur Algebra der Funktionaloperationen und Theorie der Normalen Operatoren, Math. Ann., 102 (1929), pp. 370—427. Zbl55.0825.02JFM55.0825.02
  14. J. Von Neumann, [14] On a certain topology for rings of operators, Ann. of Math., 37 (1936), pp. 111—115. Zbl0014.16006JFM62.0449.02
  15. J. Von Neumann, [15] On rings of operators III, Ann. of Math., 41 (1940), pp. 94-161. Zbl0023.13303
  16. J. Von Neumann, [16] On some algebraical properties of operator rings, Ann. of Math., 44 (1943), pp. 709—715. Zbl0060.26902
  17. J. Von Neumann, [17] On rings of operators. Reduction theory, Ann. of Math., 50 (1949), pp. 401—485. (Oblatum 25-10-50). Zbl0034.06102

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